Solve the equation.
-$$| 7 x - 4 | = | x - 6 |$$
A) $\left\{ \frac { 1 } { 3 } , - \frac { 5 } { 3 } \right\}$

B) $\left\{ - \frac { 1 } { 3 } , - \frac { 1 } { 3 } \right\}$

C) $\varnothing$

D) $\left\{ - \frac { 1 } { 3 } , \frac { 5 } { 4 } \right\}$

Question

Solve the equation.
-$$| 7 x - 4 | = | x - 6 |$$
A) $\left\{ \frac { 1 } { 3 } , - \frac { 5 } { 3 } \right\}$

B) $\left\{ - \frac { 1 } { 3 } , - \frac { 1 } { 3 } \right\}$

C) $\varnothing$

D) $\left\{ - \frac { 1 } { 3 } , \frac { 5 } { 4 } \right\}$

Quizplus · Accepted Answer

The equation |7x - 4| = |x - 6| can be solved by considering the cases for the absolute values. Solving these cases gives the solutions x = -1/3 and x = 5/4.

Solve the Equation ∣7x−4∣=∣x−6∣| 7 x - 4 | = | x - 6 |∣7x−4∣=∣x−6∣

Solve the Equation $| 7 x - 4 | = | x - 6 |$